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Stability of a constant mean curvature surface in R3

Published online by Cambridge University Press:  17 April 2009

Sung Eun Koh
Sung Eun Koh
Affiliation:
Department of Mathematics, Seoul National University, Seoul, 151, Korea.
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Abstract

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We solve the question raised by Barbosa and do Carmo as to whether there exists a complete, noncompact stably immersed surface in R3 with nonzero constant mean curvature. We show that such a surface is necessarily minimal, that is, its mean curvature is zero.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 1 , August 1987 , pp. 19 - 24
Copyright
Copyright © Australian Mathematical Society 1987

References

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